A159878 The digits of Pi whose spellings in English contain no i's.

3, 1, 4, 1, 2, 3, 7, 3, 2, 3, 4, 2, 4, 3, 3, 3, 2, 7, 0, 2, 4, 1, 7, 1, 3, 3, 7, 1, 0, 2, 0, 7, 4, 4, 4, 2, 3, 0, 7, 1, 4, 0, 2, 2, 0, 2, 0, 3, 4, 2, 3, 4, 2, 1, 1, 7, 0, 7, 2, 1, 4, 0, 1, 3, 2, 2, 3, 0, 4, 7, 0, 3, 4, 4, 0, 0, 2, 2, 3, 1, 7, 2, 3, 4, 0, 1, 2, 4, 1, 1, 1, 7, 4, 0, 2, 4, 1, 0, 2, 7, 0, 1, 3, 2, 1

Offset

1,1

Comments

Blind Pi: The series of digits of Pi A000796 after removal of any 5, 6, 8 or 9 (see A095763, A089589).

The difference of the value of this constant to Pi is 0.000355..., compared to a difference of 0.0012... = A003077 for 22/7.

The only other alpha language that has no numbers 0 to 9 with an i is Albanian.

It is natural to ask "is the constant defined in this way irrational, transcendental?"

Links

Table of n, a(n) for n=1..105.

Example

Pi = 3.1415... . The digit 5 or five contains an i in the spelling. So 5 is not in the sequence.

Mathematica

Flatten[ RealDigits[Pi, 10, 174][[1]] /. {5 -> {}, 6 -> {}, 8 -> {}, 9 -> {}}] (* Robert G. Wilson v, May 27 2009 *)

Prog

(PARI) blindpi(n) =
{
default(realprecision, 1000);
local(pi, x);
pi=Vec(Str(Pi*10^99));
default(realprecision, 28);
for(x=1, n,
if(pi[x]=="0"||pi[x]=="1"||pi[x]=="2"||pi[x]=="3"||pi[x]=="4"||pi[x]=="7",
print1(pi[x]", ");
);
);
}

Crossrefs

Sequence in context: A143319 A078011 A010285 * A346562 A230767 A324116

Adjacent sequences: A159875 A159876 A159877 * A159879 A159880 A159881

Keyword

base,word,nonn

Author

Cino Hilliard, Apr 25 2009

Extensions

Edited by R. J. Mathar, Apr 28 2009

Status

approved